A stroll in the mathematical world. This is neither an elementary introduction to the theory of singularities, nor a specialized treatise containing many new theorems. The purpose of this little book is to invite the reader on a mathematical promenade. We pay a visit to Hipparchus, Newton and Gauss, but also to many contemporary mathematicians. We play with a bit of algebra, topology, geometry, complex analysis, combinatorics, and computer science. Hopefully, motivated undergraduates and more advanced mathematicians will enjoy some of these panoramas.

Cover image for the January 2017 edition of "La gazette des mathématiciens", published by the Société Mathématique de France. In this edition there is also an article by Nicolas Bergeron for which I made some illustrations.

Several illustrations for "50 visions of mathematics".The book celebrates the 50th anniversary of the Institute of Mathematics and its Applications (IMA) .

MarchPublic Lecture

Public lecture: "Mathematical Imagery:A tale about Escher, the fourth dimension and chaos" in the framework of the Eleventh International Conference on
Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing at Leuven University. ( MCQMC2014 ) Tuesday, April 8, 2014.

Participation in a group exhibition "Mathématiques et Art", organized by the European Society for Mathematics and Art (ESMA) in the Maison des Arts in Aime, France, June 7 to July 23, 2011.

JuneAbel price lecture

John Milnor received the 2011 Abel price. At this occasion Etienne Ghys gave a Science Lecture about "A guided tour of the seventh dimension" for which I provided some images and animations.
There is a video of this lecture on this page.

Participation in a group exhibition "Mathématique et Art", organized by the European Society for Mathematics and Art (ESMA) in the Institut Henri Poincaré June 7 to July 25, 2010.
(11, Rue Pierre et Marie Curie, Paris)

Several illustrations for "Géométries et Dynamiques, a book edited by Khaled Sadallah and Abdelghani Zeghib on lectures given during a CIMPA summer school in El-Oued, Algeria. (In French, Hermann éditeurs).

Illustrations and animations for an article by Etienne Ghys "Le moulin à eau de Lorenz", the Lorenz waterwheel, published in Images des Mathématiques, a website of the Centre National de la Recherche Scientifique, France.

FebruaryArticle illustrations

Illustrations and animations for an article by Etienne Ghys "Le pli et la fronce", "Of folds and cusps", published in Images des Mathématiques, a website of the Centre National de la Recherche Scientifique, France.

JanuaryArticle

Article on hyperbolic geometry "Une chambre hyperbolique", the hyperbolic chamber, published in Images des Mathématiques, a website of the Centre National de la Recherche Scientifique, France.
An English language version is here.

2008

DecemberArticle illustrations

Illustrations and animations for an article by Etienne Ghys "La courbe de Menger", the Menger curve, published in Images des Mathématiques, a website of the Centre National de la Recherche Scientifique, France.

DecemberMath textbook

Cover image for "Algèbre I, Groupes, Corps et Théorie de Galois", a book by Daniel Guin and Thomas Hausberger.

Images and animations for Mathematics Illuminated a 13-part television series by Oregon Public Broadcasting. Mathematics Illuminated is a 13-part multimedia learning resource for adult learners and high school teachers in math and other disciplines. The series explores major themes in the field of mathematics, from mankind's earliest study of prime numbers to the cutting edge mathematics used to reveal the shape of the universe.

FebruaryAustralian book illustration

Three illustrations for a book by Burkard Polster of Monash University, Australia, entitled "Eye twisters", "Ambigrams and other visual puzzles to amaze and entertain."

Fractal art contest at the occasion of the International Congress of Mathematicians in Madrid, August 2006
"Indra Family" was one of 16 works chosen from over 200 entries, and these were shown at an exhibition in the Centro Cultural Conde Duque during the Congress
The image on the left is from an article on the exhibition that appeared in "El Pais" (Spanish national newspaper)
The image on the right shows the exhibition organisers, together with Professsor Mandelbrot and his wife.

Pour la Science, April 2006 ( French edition of Scientific American)
“ Jos Leys, artiste géomètre ” by Jean-Paul Delahaye.
See the "Articles" section for a copy of this article.
http://tinyurl.com/jxhuw

"Poincaré et le monde non euclidien ('Poincaré and the non-euclidian world"), a lecture by Etienne Ghys in the "Un texte, un mathématicien" cycle organised by the French mathematical Society at the Bibliothèque National de France in Paris on March 15, 2006.
This is my first collaboration with Etienne where I provided images and animations for his lecture.

Set of four prints ordered for the control room of Total’s offshore operations in Den Helder, The Netherlands.

MayStalking the Riemann hypothesis.

Stalking the Riemann hypothesis. By Dan Rockmore.
A non-technical account of the history of the Riemann Hypothesis, a 150 year-old unsolved math problem, whose solution gets to the heart of out understanding of the way in the which the prime numbers are distributed among the integers.
(several illustrations)
http://www.cs.dartmouth.edu/~rockmore/

A lecture on Penrose tilings of the plane, by Sir Roger Penrose.
These notes are from a lecture given by Sir. Roger Penrose at The Pennsylvania State University MASS Colloquium. The topic of the lecture was on tiling the plane and 5-fold symmetry. The lecture
was given on October 24th, 2002.
(illustration)
http://www.math.psu.edu/mass/colloquia/2002/index.html